What is the Least Common Multiple of 87968 and 87981?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 87968 and 87981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87968 and 87981, than apply into the LCM equation.

GCF(87968,87981) = 1
LCM(87968,87981) = ( 87968 × 87981) / 1
LCM(87968,87981) = 7739512608 / 1
LCM(87968,87981) = 7739512608

Least Common Multiple (LCM) of 87968 and 87981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87968 and 87981. First we will calculate the prime factors of 87968 and 87981.

Prime Factorization of 87968

Prime Factorization of 87981

Now multiplying the highest exponent prime factors to calculate the LCM of 87968 and 87981.

LCM(87968,87981) = 2⁵ × 2749¹ × 3¹ × 29327¹
LCM(87968,87981) = 7739512608